Seiberg-Witten theory
imported>Pythagoras0님의 2013년 12월 16일 (월) 08:02 판
introduction
- Vortices and Monopoles and Instantons
- After describing the gauge theory of Electromagnetism, we shall define the 4-dimensional Seiberg-Witten invariant (sweeping much technical structure under the rug) and discuss its topological properties.
- Then we'll backtrack and try to see how this physics beast was born.
4-manifolds
- 1980's work of M. Freedman gave a new insight in the topological classification of simply connected compact 4-manifolds via their intersection forms
- S.K. Donaldson succeeded in establishing criteria how the intersection form can prevent a topological 4-manifold from being smoothable
application to 4-manifolds
- invariants of compact smooth 4-manifolds introduced by Witten (1994)
encyclopedia
- http://en.wikipedia.org/wiki/Seiberg%E2%80%93Witten_gauge_theory
- http://en.wikipedia.org/wiki/Seiberg%E2%80%93Witten_invariant
expositions
- Bohn, Michael. 2007. “An introduction to Seiberg-Witten theory on closed 3-manifolds”. 0706.3604 (6월 25). http://arxiv.org/abs/0706.3604
- Lerche, W. 1997. “Introduction to Seiberg-Witten Theory and Its Stringy Origin.” Fortschritte Der Physik. Progress of Physics 45 (3-4): 293–340. doi:10.1002/prop.2190450304.